Number

127

127 is a prime, odd, a calendar year.

Arithmetic Number Ascending Digits Chen Prime Cousin Prime Deficient Number Mersenne Prime Odious Number Pernicious Number Prime Recamán's Sequence Squarefree Year

Historical context — 127 AD

Calendar year

Year 127 (CXXVII) was a common year starting on Tuesday of the Julian calendar.

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Historical context — 127 BC

Calendar year

Year 127 BC was a year of the pre-Julian Roman calendar.

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Year facts

Year type: Common year
Standard 365-day year; not divisible by 4 (or divisible by 100 but not 400).
Days in year: 365
ISO weeks: 52
Started on: Wednesday
January 1, 127
Ended on: Wednesday
December 31, 127
Friday the 13ths: 1
One Friday the 13th this year.
Decade: 120s
120–129
Century: 2nd century
101–200
Millennium: 1st millennium
1–1000
Years ago: 1,899
1899 years before 2026.

In other calendars

Hebrew: 3887 / 3888 AM
Rosh Hashanah falls in September/October.
Chinese: Year of the zodiac:Fire zodiac:Rabbit
Sexagenary cycle position 4 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era: 670 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Ethiopian: 119 / 120 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka): 49 / 48 Saka
Indian national calendar; year starts in March.

Properties

Parity: Odd
Digit count: 3
Digit sum: 10
Digit product: 14
Digital root: 1
Palindrome: No
Bit width: 7 bits
Reversed: 721
Recamán's sequence: a(146) = 127
Square (n²): 16,129
Cube (n³): 2,048,383
Divisor count: 2
σ(n) — sum of divisors: 128
φ(n) — Euler's totient: 126

Primality

127 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)

1 · 127

Aliquot sum (sum of proper divisors): 1

Factor pairs (a × b = 127)

1 × 127

First multiples

127 · 254 (double) · 381 · 508 · 635 · 762 · 889 · 1,016 · 1,143 · 1,270

Sums & aliquot sequence

As consecutive integers: 63 + 64

Representations

In words: one hundred twenty-seven
Ordinal: 127th
Roman numeral: CXXVII
Binary: 1111111
Octal: 177
Hexadecimal: 0x7F
Base64: fw==
One's complement: 128 (8-bit)

In other bases

ternary (3) 11201

quaternary (4) 1333

quinary (5) 1002

senary (6) 331

septenary (7) 241

nonary (9) 151

undecimal (11) 106

duodecimal (12) a7

tridecimal (13) 9a

tetradecimal (14) 91

pentadecimal (15) 87

Historical numeral systems

Babylonian (base 60): 𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓍢𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): ρκζʹ
Mayan (base 20): 𝋦·𝋧
Chinese: 一百二十七
Chinese (financial): 壹佰貳拾柒

In other modern scripts

Eastern Arabic ١٢٧ Devanagari १२७ Bengali ১২৭ Tamil ௧௨௭ Thai ๑๒๗ Tibetan ༡༢༧ Khmer ១២៧ Lao ໑໒໗ Burmese ၁၂၇

Digit at this position in famous constants

π — Pi (π): Digit 127 = 4
e — Euler's number (e): Digit 127 = 3
φ — Golden ratio (φ): Digit 127 = 3
√2 — Pythagoras's (√2): Digit 127 = 6
ln 2 — Natural log of 2: Digit 127 = 0
γ — Euler-Mascheroni (γ): Digit 127 = 4

Also seen as

Prime neighborhood

Adjacent primes:

Previous prime: 113 (gap of 14)
Next prime: 131 (gap of 4)

Pair status: cousin with 131.

ASCII character

As an ASCII codepoint, 127 is DEL (delete). ASCII control character.

Hex color

#00007F

RGB(0, 0, 127)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.0.127.

Address: 0.0.0.127
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.0.127

Unspecified address (0.0.0.0/8) — "this network" placeholder.